Ritz Value for Non-Hermitian Matrices

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dc.citation.firstpage1320en_US
dc.citation.issueNumber4en_US
dc.citation.journalTitleSIAM Journal on Matrix Analysis and Applicationsen_US
dc.citation.lastpage1338en_US
dc.citation.volumeNumber33en_US
dc.contributor.authorCarden, Russell L.en_US
dc.contributor.authorEmbree, Marken_US
dc.date.accessioned2013-07-11T15:05:47Zen_US
dc.date.available2013-07-11T15:05:47Zen_US
dc.date.issued2012en_US
dc.description.abstractRayleigh-Ritz eigenvalue estimates for Hermitian matrices obey Cauchy interlacing, which has helpful implications for theory, applications, and algorithms. In contrast, few results about the Ritz values of non-Hermitian matrices are known, beyond their containment within the numerical range. To show that such Ritz values enjoy considerable structure, we establish regions within the numerical range in which certain Ritz values of general matrices must be contained. To demonstrate that localization occurs even for extreme examples, we carefully analyze possible Ritz value combinations for a three-dimensional Jordan block.en_US
dc.embargo.termsnoneen_US
dc.identifier.citationCarden, Russell L. and Embree, Mark. "Ritz Value for Non-Hermitian Matrices." <i>SIAM Journal on Matrix Analysis and Applications,</i> 33, no. 4 (2012) Society for Industrial and Applied Mathematics: 1320-1338. http://dx.doi.org/10.1137/120872693.en_US
dc.identifier.doihttp://dx.doi.org/10.1137/120872693en_US
dc.identifier.urihttps://hdl.handle.net/1911/71532en_US
dc.language.isoengen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.subject.keywordRitz valuesen_US
dc.subject.keywordnumerical rangeen_US
dc.subject.keywordinverse field of values problemen_US
dc.titleRitz Value for Non-Hermitian Matricesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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